Suppose that a certain college class contains 60 students. Of these,are 37 freshmen, 28 are economics majors, and 10 are neither. A student is selected at random from the class.
(a) What is the probability that the student is both a freshman and an economics major?
(b) Given that the student selected is a freshman, what is the probability that he is also an economics major?
Write your responses as fractions.
(If necessary, consult a list of formulas.)